LCM of 900, 506, 678, 572, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 506, 678, 572, 966 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 900, 506, 678, 572, 966. So, keep reading to learn more.
Given numbers are 900,506,678,572,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,506,678,572,966 is 2341439100.
Find LCM of 900,506,678,572,966 with Prime Factorization
| 2 | 900, 506, 678, 572, 966 |
| 2 | 450, 253, 339, 286, 483 |
| 3 | 225, 253, 339, 143, 483 |
| 11 | 75, 253, 113, 143, 161 |
| 23 | 75, 23, 113, 13, 161 |
| 75, 1, 113, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 75 x 1 x 113 x 13 x 7 = 2341439100
Therefore, the lowest common multiple of 900,506,678,572,966 is 2341439100.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
900 x 506 x 678 x 572 x 966 = 170606618582400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
506 : 1, 2, 11, 22, 23, 46, 253, 506
678 : 1, 2, 3, 6, 113, 226, 339, 678
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,506,678,572,966, is 2.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
506:2x 11x 23
678:2x 3x 113
572:2x 2x 11x 13
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 11x 23 = 36432
Therefore, the value for common factors is 36432.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 170606618582400/(2x36432)
LCM = 170606618582400/72864
LCM = 2341439100
Thus, we can understand that the LCM of 900,506,678,572,966 is 2341439100.
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FAQs on LCM of 900, 506, 678, 572, 966
1. What is the LCM of 900, 506, 678, 572, 966?
Answer: LCM of 900, 506, 678, 572, 966 is 2341439100.
2. How to calculate the LCM of 900, 506, 678, 572, 966?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 900, 506, 678, 572, 966.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.